42315672328800
42,315,672,328,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42315672328800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
42315672328800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42315672328800:
25 × 3 × 52 × 13 × 1356271549
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 1356271549)See below for interesting mathematical facts about the number 42315672328800 from the Numbermatics database.
Names of 42315672328800
- Cardinal: 42315672328800 can be written as Forty-two trillion, three hundred fifteen billion, six hundred seventy-two million, three hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.23156723288 × 1013
Factors of 42315672328800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1356271572
Divisors of 42315672328800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 1356271549 2712543098 4068814647 5425086196 6781357745 8137629294 10850172392 13562715490 16275258588 17631530137 20344073235 21700344784 27125430980 32550517176 33906788725 35263060274 40688146470 43400689568 52894590411 54250861960 65101034352 67813577450 70526120548 81376292940 88157650685 101720366175 105789180822 108501723920 130202068704 135627154900 141052241096 162752585880 176315301370 203440732350 211578361644 217003447840 264472952055 271254309800 282104482192 325505171760 352630602740 406881464700 423156723288 440788253425 528945904110 542508619600 564208964384 651010343520 705261205480 813762929400 846313446576 881576506850 1057891808220 1085017239200 1322364760275 1410522410960 1627525858800 1692626893152 1763153013700 2115783616440 2644729520550 2821044821920 3255051717600 3526306027400 4231567232880 5289459041100 7052612054800 8463134465760 10578918082200 14105224109600 21157836164400 42315672328800
- Sum of all divisors σ(n): 148332706880400
- Sum of proper divisors (its aliquot sum) s(n): 106017034551600
- 42315672328800 is an abundant number, because the sum of its proper divisors (106017034551600) is greater than itself. Its abundance is 63701362222800
Bases of 42315672328800
- Binary: 10011001111100011000101001111000011010011000002
- Hexadecimal: 0x267C629E1A60
- Base-36: EZZJUQV6O
Squares and roots of 42315672328800
- 42315672328800 squared (423156723288002) is 1790616124638370015309440000
- 42315672328800 cubed (423156723288003) is 75771125196862965963565302577423872000000
-
The
square root of 42315672328800 is 6505049.7560587497 -
The
cube root of 42315672328800 is 34847.1353202171
Scales and comparisons
How big is 42315672328800?- 42,315,672,328,800 seconds is equal to 1,345,507 years, 25 weeks, 3 days, 40 minutes.
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To count from 1 to 42,315,672,328,800 would take you about three million, three hundred sixty-three thousand, seven hundred sixty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42315672328800 cubic inches would be around 2903.9 feet tall.
Recreational maths with 42315672328800
- 42315672328800 backwards is 00882327651324
- The number of decimal digits it has is: 14
- The sum of 42315672328800's digits is 51
- More coming soon!
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